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Finding the Fourth Proportional to 16,510.32, 22,784.69 and 9,341.33

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Solution

The fourth proportional to 16,510.32, 22,784.69 and 9,341.33 is: 12,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.32 : 22,784.69 = 9,341.33 : x
  2. Step 2: Convert to fraction form
    16,510.32/22,784.69 = 9,341.33/x
  3. Step 3: Cross multiply
    16,510.32x = 22,784.69 × 9,341.33
  4. Step 4: Simplify right side
    16,510.32x = 212,839,147.61
  5. Step 5: Solve for x
    x = 212,839,147.61/16,510.32
  6. Step 6: Final answer
    x = 12,891.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.